2. Suppose that we classify Canadian residents between 15 and 65 as either young (Y, ages 15-24) or old (O, ages 25-65). We also classify them according to whether they are employed (E), unemployed (U), or not in the labour force (N). Suppose P(Y) = 0.20. Also, P(E Y) = 0.25, P(U|Y) = 0.10, P(E|O) = 0.7, and P(U|O) = 0.2. (a) What is the probability that someone between 15 and 65 is not in the labour force? (b) What is the probability that someone is young given that they are unemployed? (c) What is the probability that someone is old given that they are not in the labour force